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Finding the Third Proportional to 2,102,154 and 3,246,390

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Solution

The third proportional to 2,102,154 and 3,246,390 is: 5,013,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,154 : 3,246,390 = 3,246,390 : x
  2. Step 2: Convert to fraction form
    2,102,154/3,246,390 = 3,246,390/x
  3. Step 3: Cross multiply
    2,102,154x = 3,246,390 × 3,246,390
  4. Step 4: Simplify right side
    2,102,154x = 10,539,048,032,100
  5. Step 5: Solve for x
    x = 10,539,048,032,100/2,102,154
  6. Step 6: Final answer
    x = 5,013,451.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.